Birkhoff-Kellogg and Best Proximity Pair Results
O'Regan, Donal ; Shahzad, Naseer ; Agarwal, Ravi P.
Bull. Belg. Math. Soc. Simon Stevin, Tome 12 (2006) no. 5, p. 645-655 / Harvested from Project Euclid
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The paper presents new Birkhoff-Kellogg type theorems for maps in the S-KKM class. Best proximity pair theorems are also established for the admissible class ${\mathfrak A}_c^\kappa$ and the $PK$ class.
Publié le : 2006-12-14
Classification:  Invariant direction,  S-KKM maps,  countably condensing maps,  proximity pair theorems,  47H10 
@article{1168957341,
     author = {O'Regan, Donal and Shahzad, Naseer and Agarwal, Ravi P.},
     title = {Birkhoff-Kellogg and Best Proximity Pair Results},
     journal = {Bull. Belg. Math. Soc. Simon Stevin},
     volume = {12},
     number = {5},
     year = {2006},
     pages = { 645-655},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1168957341}
}

O'Regan, Donal; Shahzad, Naseer; Agarwal, Ravi P. Birkhoff-Kellogg and Best Proximity Pair Results. Bull. Belg. Math. Soc. Simon Stevin, Tome 12 (2006) no. 5, pp.  645-655. http://gdmltest.u-ga.fr/item/1168957341/